allow me to present my program: It is an expedition into the world of a 3-dimensional computed Mandelbrot set. It is a simple "flight simulator" which allows you to control a probe through the impressive scene.

To make it a little more funny I placed a small statue. This statue must be found . I do not think it is possible, though the statue is actually not very hidden. The Mandelbrot set is simply too complex.

ever thought about making a boat trip ? i was thinking .... you start over with a little boat in a minibrot, andyour aim for your expedition is to swim to the main mandelbrot, since all minibrots are connected you could makea path, and if you reach the circumfence of the main cardioid you did it

great idea! But are you sure it works? Is there a proven theorem that all minibrots are connected to the mainbrot? And if, so it may be that it still does not work in a program. Once I flew straight the x-axis (y = 0) to the angle 180 at a height of 5 units to the minibrot at the left. My probe has a size of 0.000005 (in reality). But I crashed to the surface!

An interesting question: how wide are the connections. This certainly depends on the number of iterations which you calculate.

Greets Hans

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In German the Mandelbrot set is often called "Apfelmaennchen" - in my translation Applemanikin

I simulated your "boat-idea" with my probe. I modified the program a little bit and made a "journey" to the "west" of the Mandelbrot set. The resolution of my program, and especially the number range of double in java (min. 4,94065645841246544e-324) is the reason, that the width of the "ravine" becomes (approximately) zero in practice.

you simply control the width of the channel by the iteration count, lower your iterations !!!and lols, use a more interesting location, and make it the other way round travel from a minibrot to the main cardioid